## If you look at the leaves of a tree, they are seemingly randomly arranged. We

If you look at the leaves of a tree, they are seemingly randomly arranged. We call it chaos. If you take 100 pennies and arrange them on a flat surface in rows and columns of 10 it's called order. We assign the label chaos to something that occurs naturally and has done so for billions of years. Wouldn't that occurrence be considered order if it had been there a long, long time and the human species and our perceptions are very new in comparison?

The positions and numbers of branches and leaves of trees and plants are governed by Fibonacci series: 1,1,2,3,5,8.13 . . . . , so there is order in their arrangement. Whether this pattern exists seems to have little or nothing to do with how used to it we are.

The positions and numbers of branches and leaves of trees and plants are governed by Fibonacci series: 1,1,2,3,5,8.13 . . . . , so there is order in their arrangement. Whether this pattern exists seems to have little or nothing to do with how used to it we are.

## The visible spectrum of light starts at red and moves to violet. Wavelengths of

The visible spectrum of light starts at red and moves to violet. Wavelengths of E.M. radiation slightly longer than red are infra-red and shorter than violet are ultra-violet, neither of which is visible to humans. My question is then: why do we see the spectrum of visible color as a cycle moving seamlessly from red to violet and through violet into red again (think of a color wheel)? Why do we not see the visible spectrum the way it would seem to make the most sense, i.e., fading in from invisible infra-red and fading out to invisible ultra-violet? This has been bugging me for some time now, hopefully one of the panelists here can give me a satisfactory answer or point me in the right direction. Thanks, -Liam C.

The fact is that the correspondence between colour and frequency is rough and approximate. To some "colours" (and what does this mean?) there corresponds no wavelength, or no single wavelength, of monochromatic light. Examples are the browns, the appropriately named "non-spectral" purples, and white. (Black is also an example!) The colours form a circle (roughly) or a three-dimensional solid of which the circle is a cross-section at middle brightness in fixed illumination. This is colour space; and the frequency scale does not really model its overal complexity, except around the one corner at the edge: the spectrum. This is related to the fact that there are three types of cone which respond to coloured light, not four. There is no photoreceptor which peaks in the yellow, so when we see yellow it is the "red" and "green" cones that are being stimulated. Scientists tend to draw the conclusion that "colour is a sensation", as Maxwell put it. But this can't be right, as I see it, for the most part for the reasons given in Thomas Reid's philosophy of sensation and perception. The relation between colour and frequncy or wavelength has been an issue since the wave theory of light was introduced by Thomas Young, but the problem was there for Newton even though he held a corpuscular theory of light; the big particles stirred up red or "red" sensations (_n.b._ red sensations), and the little ones blue ones, but the "Rays" (paths?) made of these corpuscles were "strictly" not coloured.

The fact is that the correspondence between colour and frequency is rough and approximate. To some "colours" (and what does this mean?) there corresponds no wavelength, or no single wavelength, of monochromatic light. Examples are the browns, the appropriately named "non-spectral" purples, and white. (Black is also an example!) The colours form a circle (roughly) or a three-dimensional solid of which the circle is a cross-section at middle brightness in fixed illumination. This is colour space; and the frequency scale does not really model its overal complexity, except around the one corner at the edge: the spectrum. This is related to the fact that there are three types of cone which respond to coloured light, not four. There is no photoreceptor which peaks in the yellow, so when we see yellow it is the "red" and "green" cones that are being stimulated. Scientists tend to draw the conclusion that "colour is a sensation", as Maxwell put it. But this can't be right, as I see it, for the most part for the...